Integrable systems on the sphere associated with genus three algebraic curves
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Publication:6654173
Vitaliĭ Alibakhshovich Khudobakhshov, A. V. Tsiganov
Publication date: 18 December 2024
Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)
Cites Work
- Title not available (Why is that?)
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- New integrable systems with a quartic integral and new generalizations of kovalevskaya's and goriatchev's cases
- Classical integrable systems and billiards related to generalized Jacobians
- On the problem of the rotation of a solid body about a fixed axis.
- A new integrable system on the sphere
- On the Steklov-Lyapunov case of the rigid body motion
- On natural Poisson bivectors on the sphere
- On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
- On the Kowalevski-Goryachev-Chaplygin gyrostat
- Simultaneous separation for the Kowalevski and Goryachev$ndash$Chaplygin gyrostats
- Poisson maps and integrable deformations of the Kowalevski top
- On a family of integrable systems on S2 with a cubic integral of motion
- On two different bi-Hamiltonian structures for the Toda lattice
- On the case treated by \(\text{M}^{\text{me}}\) Kowalevski of the rotation of a solid body about a fixed point.
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